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Finding the Fourth Proportional to 9,727.86, 14,593.14 and 3,151.92

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Solution

The fourth proportional to 9,727.86, 14,593.14 and 3,151.92 is: 4,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.86 : 14,593.14 = 3,151.92 : x
  2. Step 2: Convert to fraction form
    9,727.86/14,593.14 = 3,151.92/x
  3. Step 3: Cross multiply
    9,727.86x = 14,593.14 × 3,151.92
  4. Step 4: Simplify right side
    9,727.86x = 45,996,409.83
  5. Step 5: Solve for x
    x = 45,996,409.83/9,727.86
  6. Step 6: Final answer
    x = 4,728.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.